Answer:
a)  8*88*10⁻⁶ ( 0.00088 %)
b) 0.2137 (21.37%)
Step-by-step explanation:
if the test contains 25 questions and each questions is independent of the others, then the random variable X= answer "x" questions correctly , has a binomial probability distribution. Then
P(X=x)= n!/((n-x)!*x!)*p^x*(1-p)^(n-x)
where
n= total number of questions= 25
p= probability of getting a question right = 1/4
then
a) P(x=n) = p^n = (1/4)²⁵ = 8*88*10⁻⁶ ( 0.00088 %)
b) P(x<5)= F(5)
where F(x) is the cumulative binomial probability distribution- Then from tables
P(x<5)= F(5)= 0.2137 (21.37%)
 
        
             
        
        
        
The answer would be A. 1/4 bc you add all the marbles together then divide by the amount of the color you’re looking for
        
             
        
        
        
Answer:
What to prove, solve for? 
 
        
                    
             
        
        
        
Harry styles and one direction. that’s it
        
                    
             
        
        
        
Answer:
A. The next 3 terms are —9, —11, —13
B. The sequence is Arithmetic 
C. The sequence has a common difference of —2 
Common difference = T2 — T1 or = T3 — T2 
=T2 — T1 = —3 —(—1) = —2 or 
= T3 — T2 = —5 —(—3) = —2
D. Tn = a + d(n—1) 
a = first term = —1
d = Common difference = —2
n = 27
T27 = —1 + —2(27—1) 
T27 = —1 + —2(26) 
T27 = —1 —52
T27 = —53